A genetic algorithm for multivariate isotonic regression

References

• Barlow , R. E. , Bartholomew , D. J. , Bremner , J. M. and Brunk , H. D. 1972 . Statistical Inference Under order Restrictions , New York : Wiley .
   Google Scholar
• Fogel , D. B. 1994 . An introduction to simulated evolutionary optimization . IEEE Transactions on Neural Networks , 5 ( 1 ) : 3 – 14 .
   PubMed Web of Science ®Google Scholar
• Gen , M. and Liu , B. 1995 . Evolution program for production plan problem . Engineering Design and Automation , 1 ( 3 ) : 199 – 204 .
   Google Scholar
• Gen , M. and Liu , B. 1997 . Evolution program for optimal capacity expansion . Journal of Operations Research Society of Japan , 40 ( 1 ) : 1 – 9 .
   Google Scholar
• Goldberg , D. E. 1989 . Genetic Algorithms in Search, Optimization and Machine Learning , Addison-Wesley .
   Google Scholar
• Mack , G. A. and Wolfe , D. A. 1981 . K-sample rank tests for umbrella alternatives . Journal of American Statistical Association , 76 : 175 – 181 .
   Web of Science ®Google Scholar
• Michalewicz , Z. 1992 . Genetic Algorithms+Data Structures=Evolution Programs , New York : Spring-Verlag .
   Google Scholar
• Robertson , T. , Wright , F. T. and Dykstra , R. L. 1988 . Order Restricted Statistical Inference , New York : Wiley .
   Google Scholar
• Shi , N. Z. 1993 . Pool adjacent violators algorithms and maximum likelihood estimates . Chinese Journal of Applied Probability and Statistics , 9 ( 2 ) : 203 – 214 .
   Google Scholar
• Simpson , D. G. and Margolin , B. H. 1990 . Nonparametric testing for dose-response curves subject to downturns . The Annals of Statistics , 18 : 373 – 390 .
   Web of Science ®Google Scholar
• Sasabuchi , S. , Inutsuka , M. and Kulatimga , D. D. S. 1983 . A multivariate version of isotonic regression . Biometrika , 70 ( 2 ) : 465 – 472 .
   Web of Science ®Google Scholar
• Sasabuchi , S. , Inutsuka , M. and Kulatimga , D. D. S. 1991 . An algorithm for computing multivariate isotonic regression , Technical Report Vol. 287 , Hiroshima University .
   Google Scholar
• Zhao , R. T. and Gao , W. 1996 . The MLE of Laplace distribution’s mean under partial ordered restrictions . Journal of Mechanical Engineering College , 6 ( 2 ) : 29 – 34 .
   Google Scholar
• Zhao , R. T. and Liu , B. 1997 . A genetic algorithm for estimation of parameters under partial order restrictions . Journal of Systems Science and Systems Engineering , 6 ( 3 ) : 363 – 371 .
   Google Scholar